Table 2 Mathematical formula of difference between two sigmoidal membership functions used in this work.

From: ANFIS algorithm for mapping computational data of water reservoir homogenization with air bubble flows

Membership Function

Formula

Dsigmf

\(\:{\mu\:}_{i}=\frac{1}{1+{e}^{-{a}_{1}\left(x-{c}_{1}\right)}}-\frac{1}{1+{e}^{-{a}_{2}\left(x-{c}_{2}\right)}}\)